Fixed Points V: Curvature Coupling, Multi-Structure Dynamics and Drivers

We extend the Fixed Points framework to interacting families of coherent structures on curved spacetime backgrounds. Curvature-diagnostic couplings shift modal spectral gaps, thereby modifying effective damping and localization properties. We provide a fully rigorous treatment of multi-structure stability and cross-correlation thresholds for linearized Gaussian fluctuations. “Drivers” are reinterpreted as admissibility barriers arising from restriction to the coherent sector (the range of the coherent projector). No driver enters the equations of motion. Divergence of the selection potential corresponds to the infinite energetic cost of enforcing coherence and triggers exit from the admissible region. All existence and stability results are inherited from Fixed Points I–IV when applied on finite time slabs.